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<DIV ID="Table of Contents1" DIR="LTR">
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        <FONT FACE="Albany, sans-serif"><FONT SIZE=4 STYLE="font-size: 16pt"><B>Table
        of Contents</B></FONT></FONT></P>
    </DIV>
    <P STYLE="margin-bottom: 0in"><A HREF="#How to Input|outline">How to
    Input</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#How to Name|outline">How to
    Name</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Add Matrices|outline">Add
    Matrices</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Multiply Matrices|outline">Multiply
    Matrices</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Transpose|outline">Transpose</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Inverse|outline">Inverse</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Determinant|outline">Determinant</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#PLU Factorization|outline">PLU
    Factorization</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#axb Solve|outline">axb Solve</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Multiply Matrix by Constant|outline">Multiply
    Matrix by Constant</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Null Space|outline">Null
    Space</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Dot Product|outline">Dot
    Product</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Cross Product|outline">Cross
    Product</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Add Vectors|outline">Add
    Vectors</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Projection|outline">Projection</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Multiply Vector by Constant|outline">Multiply
    Vector by Constant</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Magnitude|outline">Magnitude</A></P>
    <P STYLE="margin-bottom: 0in"><A HREF="#Heat Map|outline">Heat Map</A></P>
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<H2 CLASS="western"><A NAME="How to Input|outline"></A>How to Input</H2>
<H2 CLASS="western">To input a matrix</H2>
<P STYLE="margin-bottom: 0in">Separate columns with spaces and rows
with semicolons</P>
<P STYLE="margin-bottom: 0in">1 2 3; 4 5 6</P>
<P STYLE="margin-bottom: 0in">[1 2 3;4 5 6]</P>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<H2 CLASS="western">To input a vector</H2>
<P STYLE="margin-bottom: 0in">Vector must start and end with arrow
brackets</P>
<P STYLE="margin-bottom: 0in">&lt;i j k&gt;</P>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<H2 CLASS="western">To input a column vector</H2>
<P STYLE="margin-bottom: 0in">Column vector must start and end with
square brackets and end with an apostrophe</P>
<P STYLE="margin-bottom: 0in">[1 2 3]'</P>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<H2 CLASS="western">To input a constant</H2>
<P STYLE="margin-bottom: 0in">A popup window will have a text box to
enter a constant value C</P>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<H2 CLASS="western"><A NAME="How to Name|outline"></A>How to Name</H2>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<P STYLE="margin-bottom: 0in">To name an object, enter the name in
arrow brackets first, followed by an equals sign, then the object</P>
<P STYLE="margin-bottom: 0in">&lt;name&gt; = &lt;object&gt;</P>
<P STYLE="margin-bottom: 0in"><BR>
</P>
<H2 CLASS="western"><A NAME="Add Matrices|outline"></A>Add Matrices</H2>
<P STYLE="margin-bottom: 0.2in">Adds together two matrices A and B
with the same dimensions.</P>
<P STYLE="margin-bottom: 0.2in">User selects Add Matrices from
Operations dropdown box. Input matrices A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Multiply Matrices|outline"></A>Multiply
Matrices</H2>
<P STYLE="margin-bottom: 0.2in">Multiplies two matrices A and B with
the dimensions nxm and mxk.</P>
<P STYLE="margin-bottom: 0.2in">User selects Multiply Matrices from
Operations dropdown box. Input matrices A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Transpose|outline"></A>Transpose</H2>
<P STYLE="margin-bottom: 0.2in">Switch the columns and rows of a
matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Transpose from
Operations dropdown box. Input matrix A. Press calculate. System will
switch to display view.</P>
<H2 CLASS="western"><A NAME="Inverse|outline"></A>Inverse</H2>
<P STYLE="margin-bottom: 0.2in">Finds the inverse of a matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Inverse from Operations
dropdown box. Input matrix A. Press calculate. System will switch to
display view.</P>
<H2 CLASS="western"><A NAME="Determinant|outline"></A>Determinant</H2>
<P STYLE="margin-bottom: 0.2in">Finds the determinant of a matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Determinant from
Operations dropdown box. Input matrix A. Press calculate. System will
switch to display view.</P>
<H2 CLASS="western"><A NAME="PLU Factorization|outline"></A>PLU
Factorization</H2>
<P STYLE="margin-bottom: 0.2in">Finds the PLU Factorization of a
matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects PLU Factorization from
Operations dropdown box. Input matrix A. Press calculate. System will
switch to display view.</P>
<H2 CLASS="western"><A NAME="axb Solve|outline"></A>axb Solve</H2>
<P STYLE="margin-bottom: 0.2in">Finds the Ax = b solution of a matrix
A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Ax = b from Operations
dropdown box. Input matrix A. Press calculate. System will switch to
display view.</P>
<H2 CLASS="western"><A NAME="Multiply Matrix by Constant|outline"></A>
Multiply Matrix by Constant</H2>
<P STYLE="margin-bottom: 0.2in">Multiplies a matrix A by a constant
C.</P>
<P STYLE="margin-bottom: 0.2in">User selects Multiply by Constant
from Operations dropdown box. Input matrix A and constant C. Press
calculate. System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Null Space|outline"></A>Null Space</H2>
<P STYLE="margin-bottom: 0.2in">Finds the Null Space of a matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Null Space from
Operations dropdown box. Input matrix A. Press calculate. System will
switch to display view.</P>
<H2 CLASS="western"><A NAME="Dot Product|outline"></A>Dot Product</H2>
<P STYLE="margin-bottom: 0.2in">Finds the scalar product of the two
coordinate vectors A and B.</P>
<P STYLE="margin-bottom: 0.2in">User selects Dot Product from
Operations dropdown box. Input vectors A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Cross Product|outline"></A>Cross Product</H2>
<P STYLE="margin-bottom: 0.2in">Finds the vector product of the two
coordinate vectors A and B.</P>
<P STYLE="margin-bottom: 0.2in">User selects Cross Product from
Operations dropdown box. Input vectors A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Add Vectors|outline"></A>Add Vectors</H2>
<P STYLE="margin-bottom: 0.2in">Add two vectors A and B together.</P>
<P STYLE="margin-bottom: 0.2in">User selects Add Vectors from
Operations dropdown box. Input vectors A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Projection|outline"></A>Projection</H2>
<P STYLE="margin-bottom: 0.2in">Finds the projection of vector A onto
vector B.</P>
<P STYLE="margin-bottom: 0.2in">User selects Projection from
Operations dropdown box. Input vectors A and B. Press calculate.
System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Multiply Vector by Constant|outline"></A>
Multiply Vector by Constant</H2>
<P STYLE="margin-bottom: 0.2in">Multiplies a vector A by a constant
C.</P>
<P STYLE="margin-bottom: 0.2in">User selects Multiply Vector by
Constant from Operations dropdown box. Input vector A. Input constant
C Press calculate. System will switch to display view.</P>
<H2 CLASS="western"><A NAME="Magnitude|outline"></A>Magnitude</H2>
<P STYLE="margin-bottom: 0.2in">Finds the magnitude of a vector A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Magnitude from
Operations dropdown box. Input vector A. Press calculate. System will
switch to display view.</P>
<H2 CLASS="western"><A NAME="Heat Map|outline"></A>Heat Map</H2>
<P STYLE="margin-bottom: 0.2in">Displays a graphical representation
of a matrix A.</P>
<P STYLE="margin-bottom: 0.2in">User selects Heat Map from Operations
dropdown box. Input matrix A. Press calculate. System will switch to
display view.</P>
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